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Finding the Fourth Proportional to 822.30, 1,134.49 and 527.75

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Solution

The fourth proportional to 822.30, 1,134.49 and 527.75 is: 728.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.30 : 1,134.49 = 527.75 : x
  2. Step 2: Convert to fraction form
    822.30/1,134.49 = 527.75/x
  3. Step 3: Cross multiply
    822.30x = 1,134.49 × 527.75
  4. Step 4: Simplify right side
    822.30x = 598,727.10
  5. Step 5: Solve for x
    x = 598,727.10/822.30
  6. Step 6: Final answer
    x = 728.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.